On Strongly Convex Indicatrices in Minkowski Geometry
2002 ◽
Vol 45
(2)
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pp. 232-246
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Keyword(s):
The Mean
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AbstractThe geometry of indicatrices is the foundation of Minkowski geometry. A strongly convex indicatrix in a vector space is a strongly convex hypersurface. It admits a Riemannian metric and has a distinguished invariant—(Cartan) torsion. We prove the existence of non-trivial strongly convex indicatrices with vanishing mean torsion and discuss the relationship between the mean torsion and the Riemannian curvature tensor for indicatrices of Randers type.
2013 ◽
Vol 10
(04)
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pp. 1350006
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2009 ◽
Vol 80
(2)
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pp. 251-274
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2016 ◽
Vol 289
(17-18)
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pp. 2263-2272
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2016 ◽
Vol 14
(2)
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pp. 1-8
Keyword(s):
2020 ◽
Vol 35
(1)
◽
pp. 089
2005 ◽
Vol 57
(4)
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pp. 708-723
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